Laserfiche WebLink
11 <br />IV TA13LE I. - Tangents and Externals to a 1, Curve. <br />Chord=100 ft. <br />Int. <br />Angle <br />Tangent <br />g <br />External <br />Int. <br />Angle . <br />Tan ent <br />g <br />External <br />Int' " <br />Angle <br />Tangent <br />External <br />43° <br />2257.0 <br />428.5 <br />50° <br />2671.8 <br />592.3 <br />- 57° <br />3110.9 <br />790.1 <br />10' <br />2266.6 <br />432.0 <br />10' <br />2681.9 <br />596.6 <br />10' <br />3121.7 <br />795.2 <br />20 <br />2276.2 <br />435.6 <br />20 <br />2692.1 <br />G00.9 <br />20 <br />3132.6 <br />800.4 <br />30 <br />2285.9 <br />439.2 <br />80 <br />2702.3 <br />605.3 <br />30 <br />31.13.4 <br />805.6 <br />40 <br />.2295.6 <br />442.8 <br />40 <br />2712.5 <br />609.6 <br />40 <br />3154.2 <br />810.9 <br />50 <br />2305.2 <br />446.4 <br />50 <br />2722.7 <br />614.0 <br />50 <br />3165.1 <br />81G.1 <br />44 <br />2314.9 <br />450.0 <br />'51 <br />2732.9 <br />618.4. <br />58 <br />3176.0 <br />521.4 <br />10 <br />2324.6 <br />453.6 <br />10 <br />2743.1 <br />622.8, <br />_ <br />10 <br />3186.9 <br />820.7 <br />20 <br />2334.3 <br />457.3 <br />20 <br />2753.4 <br />027.2, <br />20 <br />3197.8 <br />832.0 <br />30 <br />2344.1 <br />461.0 <br />30 <br />2763.7 <br />631.7 <br />30 <br />3208.8 <br />837.3 <br />40 <br />2353.8 <br />464.6 <br />40 <br />2773.9 <br />636.2; <br />40 <br />3219.7 <br />842.7 <br />50 <br />2363.5 <br />468.4 <br />50 <br />2734.2 <br />640.7, <br />50 <br />3230.7 <br />548.1 <br />06 <br />2373.3 <br />472.1 <br />52 <br />2794.5 <br />645.2 <br />59 <br />3241.7 <br />853.5 <br />10 <br />2383.1 <br />475.8 <br />10 <br />2804.9 <br />'649.7 <br />10 <br />3252.7 <br />858.9 <br />20 <br />2392.8 <br />479.6 <br />20 <br />2815.2 <br />654.3 <br />20 <br />3263.7 <br />864.3 <br />30 <br />2402.6 <br />483.4 <br />30 <br />2825.6 <br />658.8 <br />30 <br />3274.8 <br />869.8 <br />40 <br />2412.4 <br />487.2 <br />40 <br />2835.9 <br />663.4 <br />40 <br />3285.8 <br />$75.3 <br />50 <br />2422.3 <br />491.0 <br />50 <br />2846.3 <br />668.0 <br />50 <br />3296.9 <br />880.8 <br />46 <br />2432.1 <br />494.8 <br />53 <br />2856.7 <br />672.7• <br />60 <br />3308.0 <br />886.4 <br />10 <br />2441.9 <br />498.7 <br />10 <br />2867.1 <br />677.3 <br />10 <br />3319.1 <br />892.0 <br />20' <br />2451.3 <br />502.5 <br />20 <br />2877.5 <br />682.0 <br />20 <br />3330.3 <br />897.5 <br />30 <br />2461.7 <br />506.4 <br />30 <br />2888.0 <br />686.7 <br />30 <br />3341.4 <br />903.2 <br />40 <br />2471.5 <br />510.3 <br />40 <br />2898.4 <br />691.4 <br />40 <br />3352.6 <br />908.8 <br />50. <br />2481.4 <br />514.3 <br />50 <br />2908.9 <br />696.1 <br />50 <br />3363.8 <br />914.5 <br />'47 <br />2491.3 <br />518:2 <br />54 - <br />2919.4 <br />700.9 <br />61 <br />3375.0 <br />020.2 <br />10 <br />2501.2 <br />522.2 <br />10 <br />2929.9 <br />705.7 <br />10 <br />3386.3 <br />925.9 <br />20 <br />2511.2 <br />`526.1 <br />20 <br />2940.4 <br />710.5 <br />20 <br />3397.5 <br />931.6 <br />30 <br />2521.1 <br />530.1 <br />30 <br />2951.0 <br />715.3 <br />30 <br />3408.8 <br />937.3 <br />40 <br />2531.1 <br />534.2 <br />40 <br />2961.5 <br />720.1 <br />40 <br />3420.1 <br />943.1 <br />50 <br />2541.0 <br />538.2 <br />50 <br />2972.1 <br />725.0 <br />50 <br />3431.4 <br />945.9 <br />48 <br />2551.0 <br />542.2 <br />55 <br />2982.7 <br />729.9 <br />62 <br />3442.7 <br />954.8 <br />10 <br />2561.0 <br />546.3 <br />10 <br />2993.3 <br />734.8 <br />10 <br />3454.1 <br />960.6 <br />20 <br />2571.0 <br />550.4 <br />20 <br />3003.9 <br />739.7 <br />20 <br />3465.4 <br />906.5 <br />30 <br />2581.0 <br />554.5 <br />-30 <br />3014.5 <br />744.6 <br />30 <br />3476.8 <br />972.4 <br />40 <br />2591.0 <br />558.6 <br />40 <br />3025.2 <br />749.6 <br />40 <br />3458.3 <br />978.3 <br />50 <br />2601.1 <br />562.8 <br />50 <br />3035.8 <br />754.6 <br />50 <br />3499.7 <br />984.3 <br />49 <br />2611.2 <br />566.9. <br />56 <br />3046.5 <br />759.6 <br />63 <br />3511.1 <br />990.2 <br />10 <br />2621.2 <br />571.1 <br />10 <br />3057.2 <br />764.6 <br />10 <br />3522.6 <br />996.2 <br />.20 <br />2631.3 <br />575.3 <br />20 <br />3067.9 <br />769.7 <br />20 <br />3534.1 <br />1002.3 <br />30 <br />2641.4 <br />579.5 <br />30 <br />3078.7 <br />774.7 <br />30 <br />3545.6 <br />1008.3 <br />40 <br />2651.5. <br />583.8 <br />40 <br />30S9.4 <br />779.8 <br />40 <br />3557.2 <br />1014.4 <br />50 <br />2661.6 <br />588.0 <br />50 <br />3100.2 <br />784.9 <br />50 <br />3568.7 <br />1020.5 <br />Corrections to be Added (T =Tangent. E =.External.) <br />Angl <br />Angle <br />Carve 5° <br />10°_ 15° 201 <br />25° 30° 35° 40° 45° 50° <br />55° <br />60° <br />65° <br />70° <br />40° <br />T=.13 <br />.26 .40 .53 <br />.67 .80 .03 .106 1.20 1.34 <br />1.49 <br />1.64 <br />1.79 <br />1.94 <br />4639.8 <br />E=.022 <br />.046 .070 .093 <br />.117 .141 .172 .203 .234 .265 <br />.277 <br />290 <br />.315 <br />.341 <br />45°. <br />T=.15 <br />.30 .44 .60 <br />.76 .91 1.06 1.21 1.37 1.52 <br />1.70 <br />1.87 <br />2.04 <br />2.21 <br />1322.9 <br />E =.030 <br />.060 .093 .119 <br />.153 .184 216 .254 .289 .325 <br />.331 <br />.378 <br />.411 <br />.445 <br />50° <br />T=.17 <br />.34 :51 G8 <br />.85 1.02 1.19 1.36 1.54 1.72 <br />1.91 <br />2.10 <br />2.29 <br />2.48 <br />40 <br />E=,037 <br />.075 .110 .151 <br />.189 .227 .266 .305 .345 .384 <br />.425 <br />.467 <br />.508 <br />.5.50 <br />55° <br />T=.10 <br />.38 .57 .76 <br />.95 1.14 1.32 1.52 1.72 1.92 <br />2.14 <br />2.35 <br />2.56 <br />2.77 <br />3650.2 <br />E=.040 <br />.093 .142 .188 <br />.238 .283 .332 3.81 .420 .479 <br />.530 <br />.582 <br />.641 <br />.700 <br />60° <br />T=.21 <br />.42 .63 .84 <br />1.05 1.27 1.49 1.71 1.91 2.17 <br />2.38 <br />2.60 <br />2.83 <br />3.07 <br />1704.7 <br />E=.056 <br />.112 .168 .225 <br />.283 .340 .398 ,457 .510 .575 <br />.636 <br />.697 <br />.774 <br />.851 <br />65° <br />T=.23 <br />.48 69 .93 <br />1.16 1.40 1.64 1.88 2.13 2.38 <br />2.63 <br />2.88 <br />3.13 <br />3.39 <br />30 <br />E =.067 <br />.135 .204 2,73 <br />.343 .412 ,483 .554 .625 .697 <br />.711 <br />.845 <br />.922 <br />1.01 <br />TABLE'L - Tangents and Externals to a P Curve. V \ <br />Chord =100 ft. <br />Int. <br />Tangent <br />External <br />Angle ' <br />Tangent <br />External <br />A gle <br />Tangent <br />External <br />64° <br />3580.3 <br />1026.6 <br />71° <br />4086.9 <br />1308.2, <br />78'w <br />4639.8 <br />1643.0 <br />10' <br />3591.9 <br />1032.8 <br />10' <br />4099.5 <br />1315.6' <br />10' <br />4653.6 <br />1651.7 <br />20 <br />3603.5 <br />1039.0 <br />20 <br />4112.1 <br />1322.9 <br />20 <br />4667.4 <br />1660.5 <br />30 <br />•3615.1 <br />1045.2 <br />30 <br />4124.8 <br />1330.3 <br />' 30 <br />4681.3 <br />1669.2 <br />40 <br />3626.8 <br />1051.4 <br />40 <br />4137.4 <br />1337.7 <br />40 <br />4695.2 <br />1678.1 <br />50 <br />3638.5 <br />1057.7 <br />50 <br />4150.1 <br />'1345.1 <br />50 <br />4709.2 <br />1636.9 <br />65 <br />3650.2 <br />1063.9 <br />72 <br />4162.8 <br />1352.6 <br />79 <br />4723.2 <br />1695.8 <br />10 <br />.3661.9 <br />1070.2 <br />'10 <br />4175.6 <br />1360.1 <br />10. <br />4737.2 <br />1704.7 <br />•20 <br />3673.7 <br />1076.6 <br />20 <br />4188.5' <br />1367.6 <br />20 <br />4751.2 <br />1713.7 <br />30 <br />3685:4 <br />1082.9 <br />30 <br />4201.2 <br />1375.2 <br />30 <br />4765.3 <br />1722.7 <br />40 <br />3697.2 <br />1089.3 <br />40 <br />4214,0 <br />1382.8 <br />40 <br />4779.4 <br />1731.7 <br />50 <br />3709.0 <br />1095.7 <br />50 <br />4226.8 <br />1390.4 <br />50 <br />4793.6 <br />1740.8 <br />06 <br />3720.9 <br />1102.2 <br />73 <br />4239.7 <br />1398.0 <br />80 <br />4807.7 <br />1749.9 <br />=10 <br />3732:7 <br />1108.6 <br />10 <br />_4252.6. <br />1405.7 <br />10 <br />4822.0 <br />1759.0 <br />20 <br />3744:G <br />1115.1 <br />20, <br />4265.6 <br />1413.5 <br />20 <br />4836.2 <br />1768.2 <br />30 <br />3756.5 <br />1121.7 <br />30- <br />4278.5 <br />1421.2 <br />30 <br />4850.5 <br />1777.4 <br />!40 <br />3768.5 <br />1128.2 <br />40 <br />4291.5 <br />1429.0 <br />40 <br />4864.8 <br />1786.7 <br />50 <br />3780.4 <br />1134.8 <br />50 <br />4304.6 <br />1436.8 <br />.t " 50 <br />4879.2 <br />1796.0 <br />67 <br />-3792.4 <br />.1141.4, <br />74 <br />4317.6 <br />1444.6- <br />81 <br />4893.6 <br />1805.3 <br />10 <br />3804.4 <br />1148.0 <br />10 <br />4330.7 <br />1452.5' <br />10 ' <br />4908.0 <br />1814.7 <br />20, <br />3816.4 <br />1154.7 <br />20 <br />4343.8 <br />1460.4 <br />20' <br />4922.5 <br />1824.1 <br />30 <br />3828.4 <br />1161.3 <br />30 <br />4356.9 <br />1468.4 <br />30 <br />4937.0 <br />1833.6 <br />40. <br />3840.5 <br />1168.1 <br />40 <br />4370.1 <br />1476.4 <br />.40 <br />4951.5 <br />1843.1 <br />60 <br />.3852.6 <br />1174.8 <br />60 <br />4383.3 <br />1464.4 <br />50 <br />4966.1 <br />1852.6 <br />68. <br />3864.7 <br />1151.6 <br />.75 <br />4396.5 <br />1492.4 <br />8.2 <br />4980.7 <br />1862.2 <br />10 <br />3876.8 <br />1188.4 <br />'10 <br />4409.8' <br />1500.'5 <br />10 <br />499.5.4 <br />1871.6 <br />'-20 <br />3889.0 <br />1195.2 <br />20 <br />4423.1 <br />1508.6 <br />20 <br />5010.0 <br />1881.5 <br />'.30 <br />3901.2 <br />1202.0 <br />30 <br />4436.4 <br />1516.7 <br />'30 <br />5024.8 <br />1891.2 <br />40 <br />3913.4 <br />1208.9 <br />.40 <br />4449.7' <br />1524.9 <br />40 <br />5039.5 <br />1900.9 <br />50 <br />3925:6 <br />1215.8 <br />' 50 <br />4463.1 <br />1533.1 <br />50 <br />5054.3 <br />1910.7 <br />69 <br />3937.9 <br />1222.7- <br />'76 <br />4476.5 <br />1541.4 <br />83 <br />5069.2 <br />1920.5 <br />'10 <br />3950.2 <br />1229.7 <br />10 <br />4469.9 <br />1549.7' <br />10 <br />5084.0 <br />1030.4 <br />- 20' <br />3962.5 <br />1236.7 <br />20 <br />4503.4 <br />1558.0 <br />20 <br />5099.0 <br />19.10.3 <br />30 <br />3974.8 <br />1243.7 <br />30 <br />4516.9 <br />1566.3 <br />30 <br />5113.9 <br />1950.3 <br />40 <br />3987.2 <br />1250.8 <br />40 <br />4530.4 <br />1574.7 <br />40 <br />5128.9 <br />1960.2 <br />60 <br />3999.5 <br />1257.9 <br />. 50 <br />.4514.0 <br />1583.1 <br />50 <br />5143.9 <br />1970.3 <br />70 <br />408.9 <br />1265.0 <br />77 <br />4557.6 <br />1501.G <br />84 <br />5159.0 <br />1980.4 <br />10 <br />4024.4' <br />1272.1 <br />10 <br />4571.2 <br />1600.1 <br />10 <br />5174.1 <br />1990.5 <br />20 <br />4036.8' <br />1279.3 <br />20-: <br />4584.8 <br />1608.6 <br />'20 <br />5189.3 <br />2000.6 <br />" 30. <br />4049:3 <br />1286.5 <br />30 <br />4598.5 <br />1617.1 <br />30 <br />5204.4 <br />2010.8 <br />40 <br />4061.8 <br />1293.6 <br />40 <br />4612.2' <br />1625.7 <br />'40 <br />5219.7 <br />2021.1 <br />50 <br />4074.4 <br />1300.9 <br />'50 <br />4 02 6. 0 <br />1634.4 <br />50 <br />5234.9 <br />2031.4 <br />Corrections to be Added (T=Tangent. E= Extern al.) <br />Curve 5° 10° 15° <br />20° <br />25° <br />1 30° <br />35° <br />40° 1 <br />45° SO- 1 <br />55° <br />60° <br />65° <br />70° <br />Angle. <br />1,340 <br />1.398 49 <br />1.81 <br />2.575 .17 <br />38 <br />2.697 .60 <br />2.774 <br />3.07 <br />60° E =.056' 112 .168 <br />.225 <br />1 283 <br />1 457 <br />.516 <br />? 636 <br />851 <br />° T=.23 .46 .69 <br />6a <br />.93 <br />1.16 <br />1.40 <br />1.64 <br />1.88 <br />2.13 2.38 <br />2.63 <br />2.88 <br />3.13 <br />3.39 <br />E =.067 .135 .204 <br />.273 <br />.343 <br />.412 <br />.483 <br />.554 <br />.625 .697 <br />.711 <br />.845 <br />.922 <br />1.01 <br />70° <br />1.02 <br />.28 <br />1.403 <br />1.485 <br />1.568 <br />2.652 <br />2.735 2.819 <br />2306 .83 <br />3.994 <br />E=.080 .150 .240 <br />.321 <br />LOS <br />1.17 <br />75° T=.27 .56 .83 <br />1.12 <br />1.40 <br />1.69 <br />1.98 <br />2.27 <br />2.57 2.87 <br />3.t6 <br />3.47 <br />3.78 <br />4.09 <br />E=.095 .182 .286 <br />.383 <br />.480 <br />.578 <br />.678 <br />.777 <br />.877 .977 <br />1.07 <br />1.18 <br />1.29 <br />1.39 <br />T=.30 .61 .91 <br />80, <br />1.22 <br />1.53 <br />1.84 <br />2.15 <br />2.46 <br />2.78 3.10 <br />3.44 <br />3.78 <br />4.12 <br />4.16 <br />E=.110 .220 .332 <br />.445 <br />.358 <br />.871 <br />.787 <br />.903 <br />1.02 1.13 <br />1.25 <br />1.38 <br />1.50 <br />1.62 <br />85° T=.33 .66 1.00 <br />1.33 <br />1.68 <br />2.02 <br />2.36 <br />2.70 <br />3.05 3.40 <br />3.77 <br />4.14 <br />4.55 <br />4.89 <br />E =.128 .259 .391 <br />.524 <br />.65? <br />.790 <br />.926 <br />1.06 <br />1.20 1.34 <br />1.47 <br />1.62 <br />1.78 <br />1.91 <br />